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Finding the Fourth Proportional to 6,307.44, 8,704.14 and 3,654.78

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Solution

The fourth proportional to 6,307.44, 8,704.14 and 3,654.78 is: 5,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.44 : 8,704.14 = 3,654.78 : x
  2. Step 2: Convert to fraction form
    6,307.44/8,704.14 = 3,654.78/x
  3. Step 3: Cross multiply
    6,307.44x = 8,704.14 × 3,654.78
  4. Step 4: Simplify right side
    6,307.44x = 31,811,716.79
  5. Step 5: Solve for x
    x = 31,811,716.79/6,307.44
  6. Step 6: Final answer
    x = 5,043.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.